Search a number
-
+
310145042420 = 22564124192281
BaseRepresentation
bin1001000001101100001…
…01011100011111110100
31002122112112121120122222
410200312011130133310
520040134112324140
6354251220341512
731256453235443
oct4406605343764
91078475546588
10310145042420
1110a593877884
1250136b44898
13233288a05a5
141102265cd5a
15810316c5b5
hex483615c7f4

310145042420 has 24 divisors (see below), whose sum is σ = 652320691848. Its totient is φ = 123864473600.

The previous prime is 310145042407. The next prime is 310145042447. The reversal of 310145042420 is 24240541013.

It can be written as a sum of positive squares in 4 ways, for example, as 172766585104 + 137378457316 = 415652^2 + 370646^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 310145042420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12083321 + ... + 12108960.

It is an arithmetic number, because the mean of its divisors is an integer number (27180028827).

Almost surely, 2310145042420 is an apocalyptic number.

It is an amenable number.

310145042420 is an abundant number, since it is smaller than the sum of its proper divisors (342175649428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

310145042420 is a wasteful number, since it uses less digits than its factorization.

310145042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24192931 (or 24192929 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 310145042420 its reverse (24240541013), we get a palindrome (334385583433).

The spelling of 310145042420 in words is "three hundred ten billion, one hundred forty-five million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 641 1282 2564 3205 6410 12820 24192281 48384562 96769124 120961405 241922810 483845620 15507252121 31014504242 62029008484 77536260605 155072521210 310145042420